On Damek-Ricci spaces, radial initial data in H^β with β>a/4 give almost everywhere pointwise convergence for dispersive equations with asymptotically concave phase of degree a; the threshold is sharp up to the endpoint.
The spherical Fourier transform of rapidly decreasing functions
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
method 1
citation-polarity summary
fields
math.AP 1years
2025 1verdicts
CONDITIONAL 1roles
method 1polarities
use method 1representative citing papers
citing papers explorer
-
Regularity and pointwise convergence for dispersive equations with asymptotically concave phase on Damek-Ricci spaces
On Damek-Ricci spaces, radial initial data in H^β with β>a/4 give almost everywhere pointwise convergence for dispersive equations with asymptotically concave phase of degree a; the threshold is sharp up to the endpoint.